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Important Questions

Linear Programming — Important Questions

Madhya Pradesh Board · Class 12 · Mathematics

95 important questions from Linear Programming for Madhya Pradesh Board Class 12 Mathematics, with answers. Written for the board exams 2027.

95 questions56 flashcards12 formulas & key relations5 concepts

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A comparison chart showing two graphs: one with a bounded feasible region and another with an unbounded feasible region, explaining the implications for optimal solutions.
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95 Questions·
multiple choicemultiple correcttext answertrue falsematchingordering

Important Questions from Linear Programming

1multiple correct

Find the corner points of the feasible region defined by: x + y ≤ 6, 2x + y ≤ 8, x ≥ 0, y ≥ 0

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(0, 0), (0, 6), (4, 0), (2, 4)

Corner points are intersections of constraint boundaries. Step 1: Origin (0,0). Step 2: x=0, x+y=6 gives (0,6). Step 3: y=0, 2x+y=8 gives (4,0). Step 4: Solve x+y=6 and 2x+y=8 simultaneously: x=2, y=4, giving (2,4). Verify all points satisfy all constraints.

2text answer

If the objective function is Z = 3x + 4y and the corner points are (0,0), (0,5), (4,0), and (2,3), what is the maximum value of Z?

3true false

A linear programming problem always has a unique optimal solution.

Show answer

False

This statement is false. A linear programming problem can have: Step 1: Unique optimal solution (one corner point gives optimum). Step 2: Multiple optimal solutions (objective function parallel to a constraint). Step 3: No solution (infeasible region). Step 4: Unbounded solution (feasible region extends infinitely in direction of optimization).

4text answer

A bakery makes cakes and pastries. Profit per cake is ₹50 and per pastry is ₹30. If x = cakes and y = pastries, write the objective function to maximize profit.

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Frequently Asked Questions

What are the important topics in Linear Programming for Madhya Pradesh Board Class 12 Mathematics?
Key topics in Linear Programming include Core idea and basic terms, Furniture dealer example, Corner point method and theorems, Worked examples from the chapter. Study these first, then practise questions on each for the Madhya Pradesh Board Class 12 board exam.
How many important questions are there in Linear Programming?
Super Tutor has 95 practice questions for Linear Programming, including multiple choice, multiple correct, text answer, true false, matching, ordering questions. A sample with answers is on this page.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Madhya Pradesh Board Class 12 Mathematics Important Questions

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